Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
T1 space
open-in-new
<p>In <a href="/facts/Topology/2EqW47cU">topology</a> and related branches of <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a T1 space is a <a href="/facts/Topological_space/v2ut7CbK">topological space</a> in which, for every pair of distinct points, each has a <a href="/facts/Neighbourhood_(mathematics)/XHKgrpkp">neighborhood</a> not containing the other point. An R0 space is one in which this holds for every pair of <a href="/facts/Topologically_distinguishable/VDnSQ8Co">topologically distinguishable</a> points. The properties T1 and R0 are examples of <a href="/facts/Separation_axiom/s4CKf8gp">separation axioms</a>. </p>